To determine the final velocity of a box being pushed with an initial force of 100 N, we need to know the mass of the box. The relationship between force, mass, and acceleration is described by Newton's second law of motion:
F = m * a
where F is the force applied, m is the mass of the object, and a is the acceleration produced. In this case, the force applied is 100 N, and we assume there is no friction. Therefore, the only force acting on the box is the applied force.
Assuming the box starts from rest (initial velocity, v₀ = 0), we can calculate the acceleration produced by the force using the equation:
F = m * a
Rearranging the equation, we get:
a = F / m
Given that the force is 100 N, we need the mass of the box to calculate the acceleration and subsequently the final velocity. Please provide the mass of the box, and I'll be able to provide you with the final velocity.